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Simplifying 33 + 3n = -8(4n + -5) Reorder the terms: 33 + 3n = -8(-5 + 4n) 33 + 3n = (-5 * -8 + 4n * -8) 33 + 3n = (40 + -32n) Solving 33 + 3n = 40 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 33 + 3n + 32n = 40 + -32n + 32n Combine like terms: 3n + 32n = 35n 33 + 35n = 40 + -32n + 32n Combine like terms: -32n + 32n = 0 33 + 35n = 40 + 0 33 + 35n = 40 Add '-33' to each side of the equation. 33 + -33 + 35n = 40 + -33 Combine like terms: 33 + -33 = 0 0 + 35n = 40 + -33 35n = 40 + -33 Combine like terms: 40 + -33 = 7 35n = 7 Divide each side by '35'. n = 0.2 Simplifying n = 0.2
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